Summary

This article contains formulae and tabulated data for the properties of air as a function of temperature.

Definitions

ρ\rho:Density (kg/m^3)
μ\mu:Dynamic Viscosity (kg/(m·s))
CpC_{p}:Specific Heat (J/(kg·K))
kk:Thermal Conductivity (W/(m·K))
TT:Temperature (K)

Air at a Pressure of 1 atm

Functions

The functions below provide a means to evaluate the properties of air as a function of temperature. They were formulated by preforming regression analysis on the tabulated data presented in section 2.2.

PropertyEquationMaximum Error %
Density358.517×T−1.00212\displaystyle 358.517 \times T^{-1.00212}0.5
Specific Heat7.875×10−6×T2+0.1712×T+949.72\displaystyle 7.875 \times 10^{-6} \times T^2 + 0.1712 \times T + 949.721.8
Thermal Conductivity−1.3707×10−8×T2+7.616×10−5×T+4.5968×10−3\displaystyle -1.3707 \times 10^{-8} \times T^2 + 7.616 \times 10^{-5} \times T + 4.5968 \times 10^{-3}6.5
Dynamic Viscosity−8.3123×10−12×T2+4.4156×10−8×T+6.2299×10−6\displaystyle -8.3123 \times 10^{-12} \times T^2 + 4.4156 \times 10^{-8} \times T + 6.2299 \times 10^{-6}9.9

Tabulated Data

Presented below is a table of air properties as a function of temperature at a pressure of 1 atm.

Temperature KDensity kg/m^3Specific Heat J/(kg·K)Thermal Conductivity W/(m·K)Dynamic Viscosity kg/(m·s)Expansion Coefficient K−1K^{-1}
2001.76610030.01811.340×10−51.340 \times 10^{-5}3.998×10−33.998 \times 10^{-3}
2501.41310030.02231.610×10−51.610 \times 10^{-5}4.996×10−34.996 \times 10^{-3}
2801.27110040.02461.750×10−51.750 \times 10^{-5}3.724×10−33.724 \times 10^{-3}
2901.22410050.02531.800×10−51.800 \times 10^{-5}3.840×10−33.840 \times 10^{-3}
2981.18610050.02591.840×10−51.840 \times 10^{-5}4.005×10−34.005 \times 10^{-3}
3001.17710050.02611.850×10−51.850 \times 10^{-5}3.823×10−33.823 \times 10^{-3}
3051.161005.50.026451.875×10−51.875 \times 10^{-5}2.931×10−32.931 \times 10^{-3}
3101.14310060.02681.900×10−51.900 \times 10^{-5}2.975×10−32.975 \times 10^{-3}
3151.126510060.027151.920×10−51.920 \times 10^{-5}2.929×10−32.929 \times 10^{-3}
3201.1110060.02751.940×10−51.940 \times 10^{-5}2.973×10−32.973 \times 10^{-3}
3251.0931006.50.02791.965×10−51.965 \times 10^{-5}3.111×10−33.111 \times 10^{-3}
3301.07610070.02831.990×10−51.990 \times 10^{-5}3.160×10−33.160 \times 10^{-3}
3351.059510070.028652.010×10−52.010 \times 10^{-5}3.115×10−33.115 \times 10^{-3}
3401.04310070.0292.030×10−52.030 \times 10^{-5}3.164×10−33.164 \times 10^{-3}
3451.0261007.50.029352.055×10−52.055 \times 10^{-5}3.314×10−33.314 \times 10^{-3}
3501.00910080.02972.080×10−52.080 \times 10^{-5}3.370×10−33.370 \times 10^{-3}
3550.99641008.50.030042.101×10−52.101 \times 10^{-5}2.529×10−32.529 \times 10^{-3}
3600.983810090.030382.122×10−52.122 \times 10^{-5}2.561×10−32.561 \times 10^{-3}
3650.97121009.50.030722.143×10−52.143 \times 10^{-5}2.595×10−32.595 \times 10^{-3}
3700.958610100.031062.164×10−52.164 \times 10^{-5}2.629×10−32.629 \times 10^{-3}
3750.9461010.50.03142.185×10−52.185 \times 10^{-5}2.664×10−32.664 \times 10^{-3}
3800.933410110.031742.206×10−52.206 \times 10^{-5}2.700×10−32.700 \times 10^{-3}
3850.92081011.50.032082.227×10−52.227 \times 10^{-5}2.737×10−32.737 \times 10^{-3}
3900.908210120.032422.248×10−52.248 \times 10^{-5}2.775×10−32.775 \times 10^{-3}
3950.89561012.50.032762.269×10−52.269 \times 10^{-5}2.814×10−32.814 \times 10^{-3}
4000.88310130.03312.290×10−52.290 \times 10^{-5}2.854×10−32.854 \times 10^{-3}
4500.78510200.03632.490×10−52.490 \times 10^{-5}2.497×10−32.497 \times 10^{-3}
5000.70610290.03952.680×10−52.680 \times 10^{-5}2.238×10−32.238 \times 10^{-3}
5500.64210390.04262.860×10−52.860 \times 10^{-5}1.994×10−31.994 \times 10^{-3}
6000.58910510.04563.030×10−53.030 \times 10^{-5}1.800×10−31.800 \times 10^{-3}
7000.50410750.05133.350×10−53.350 \times 10^{-5}1.687×10−31.687 \times 10^{-3}
8000.44110990.05693.640×10−53.640 \times 10^{-5}1.429×10−31.429 \times 10^{-3}
9000.39211200.06253.920×10−53.920 \times 10^{-5}1.250×10−31.250 \times 10^{-3}
10000.35311410.06724.180×10−54.180 \times 10^{-5}1.105×10−31.105 \times 10^{-3}
12000.29411750.07594.650×10−54.650 \times 10^{-5}1.003×10−31.003 \times 10^{-3}
14000.25212010.08355.090×10−55.090 \times 10^{-5}8.333×10−48.333 \times 10^{-4}
16000.22112400.09045.490×10−55.490 \times 10^{-5}7.014×10−47.014 \times 10^{-4}
18000.19612760.0975.870×10−55.870 \times 10^{-5}6.378×10−46.378 \times 10^{-4}
20000.17713270.10326.230×10−56.230 \times 10^{-5}5.367×10−45.367 \times 10^{-4}